is 2 11457811 - 1
has 3449145 decimal digits
takes 4.411 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L853DE368AA36BF3Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.593364.1791 %13500017887500.12573.4798 %2.719065.4256 %
Target2685.202164.7059 %8000095000000.33122.8868 %5.533365.7248 %
Difference-1-2.6088-0.5268 %+55000-7711250-0.2055+0.5930%-2.8143-0.2992 %

Known prime factors (1 factor, 76.8 bits, 0.00066996% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
114578111281873695883478409110332476.7635593885672767156
22 × 33 × 17 × 29 × 105061334099
2015-11-16291050613340991,623.63,195.45,968.2

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07ANONYMOUSv4_computers1350001788750--0.1263.111%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-01-12Mark Blankev4_computers212640.171
2013-11-16lycornManual testing2642650.326
2015-02-25NesowaManual testing2652660.652


ECM factoring results:
Total ECM effort:0.585 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.585


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-12-14ANONYMOUSv4_computers853DE368AA36BF3B4.411
2004-06-04ANONYMOUSv4_computers853DE368AA36BF3B4.411


PRP results:
dateuseridcompidcofactorsres64
2021-08-02kutensryzen3
128187369588347840911033
11C1E72EE8369915


CERT results:
dateuseridcompid
2021-08-02Ben Deloi-0443d4d358bc2fd98


P-1 factor-bounds graph:
B1 = 135000, B2 = 1788750 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
266
265
264
this exponent TF target: 68
TF double-checked to: 67
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280
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Last modified: 2024-03-13T02:15:48+00:00